YES
Time: 0.012

Problem:
 Equations:
  
 TRS:
  fAC(x,one()) -> x
  fAC(i(x),x) -> one()
  phi(one(),y1) -> y1
  phi(y1,phi(y2,x)) -> phi(fAC(y1,y2),x)

Proof:
 AC-KBO Processor:
  precedence:
   fAC > one > i > phi
   weight function:
    w0 = 4
    w(one) = 10
    w(i) = 2
    w(phi) = 1
    w(fAC) = 0
   problem:
    Equations:
     
    TRS:
     
   Qed